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Finding the Fourth Proportional to 1,134.14, 1,700.99 and 312.21

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Solution

The fourth proportional to 1,134.14, 1,700.99 and 312.21 is: 468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.14 : 1,700.99 = 312.21 : x
  2. Step 2: Convert to fraction form
    1,134.14/1,700.99 = 312.21/x
  3. Step 3: Cross multiply
    1,134.14x = 1,700.99 × 312.21
  4. Step 4: Simplify right side
    1,134.14x = 531,066.09
  5. Step 5: Solve for x
    x = 531,066.09/1,134.14
  6. Step 6: Final answer
    x = 468.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.